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JCECE Medical JCECE Medical Solved Paper-2004

  • question_answer
    The volume of a metal sphere increases by \[\text{0}\text{.15 }\!\!%\!\!\text{ }\]when its temperature is raised by\[\text{24}{{\,}^{\text{o}}}\text{C}\text{.}\]The coefficient of linear expansion of metal is:

    A)  \[2.5\times {{10}^{-5}}/{{\,}^{o}}C\]

    B)  \[2.0\times {{10}^{-5}}/{{\,}^{o}}C\]

    C)  \[1.5\times {{10}^{-5}}/{{\,}^{o}}C\,\]

    D)  \[1.2\times {{10}^{-5}}/{{\,}^{o}}C\,\]

    Correct Answer: B

    Solution :

     Linear expansion coefficient \[\alpha =\frac{\gamma }{3}=\frac{1}{3}.\frac{\Delta V}{V\Delta t}\] \[\Rightarrow \] \[\alpha =\frac{1}{3}.\frac{0.15}{100\times 24}\] \[\Rightarrow \] \[\alpha =2\times {{10}^{-5}}/{{\,}^{o}}C\]


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